可以解的

By the theory of complex functions, dynamic propagahon problem on Dugdale model of mode Ⅲ interface crack for nonlinear characters of materials was studied. The general expressions of analytical solutions are obtained by the methods of serf-similar functions. The problems dealt with can be easily transformed into Riemann-Hilbert problems and their closed solutions are attained rather simple by this approach.

通过复变函数论的方法，对材料的非线性特性下的Ⅲ型界面裂纹Dugdale模型的动态扩展问题进行了研究，采用自相似函数的方法可以获得解析解的一般表达式，应用该法还可以很容易将所讨论的问题转化为Riemann-Hilbert问题，并可以相当简单地得到问题的闭合解，利用这些解并采用叠加原理，就可以求得任意复杂问题的解。

Due to equivalent transformation during the simplification procedure of equations, the solution set of equations can neither expand and nor contract, and also the transformed equations for four displacement functions are compact in the form and easy to find their solutions.

由于方程化简过程是等价变形，从而可以保证方程的解集既不会扩大也不会缩小，而位移势函数便给出了一维六方准晶中弹性解的一个通解公式。

The computing plots of the solutions from the two methods were inconsistent under the specified boundary-initial conditions, which stirred up the debate of the effectiveness of Maxwell's equations in lossy medium. It is found that the differences between the two numerical curves can be viewed as the Gibbs phenomenon caused by cutting off the high frequency components in computing the infinite integral of the numerical curve of Harmuth's solution.

通过比较两种解析解的数值曲线得出：两者的差异在于求解Harmuth解的数值曲线时，采取无穷积分的高频截断近似产生了吉布斯现象；在计算Harmuth解的数值曲线时不断增大积分上限，其数值曲线的振荡不断向不连续点处收缩，而且衰减加快，因此在求解Harmuth解的数值曲线时，若积分区间取为理想无限大，则可以预见相同计算精度下两种方法的电场解的数值曲线是一致的。

By exploiting the Richardson extrapolation and integral representation techniques under Heston (1993) framework, this paper develops analytic solutions for pricing and hedging American options when the volatility of the price of the underlying assets is stochastic.

本文是建立在Heston (1993)的论文架构底下发展出的随机波动美式选择权之分析解，由於美式选择权目前并不存在封闭解的型式，利用分析解可以取代封闭解准确又有效率的定价与避险的工作。

For diffusive Predator-Prey model with Holling-Ⅲ functional response without time delay, shooting argument together with LaSalle's Invariance Principle and the Hopf bifurcation theorem are applied to prove the existence of traveling wave solutions and small amplitude traveling wave train solutions.

在数学理论的研究中，行波解可以揭示方程本身的许多重要性质；在实际应用中，行波解可以很好的表现自然世界中的振荡现象。因此，对反应扩散方程行波解的研究具有非常重要的意义。

H-acid has two sulphonic groups, which can be dissociated in aquatic solutions. At pH 2.5, only one of them dissociated.

H-酸萘环上含有的两个磺酸基团，在水溶液中可以解离一个或者两个。pH2.5条件下，主要有一个磺酸基团解离，此时，H-酸通过一个磺酸基团吸附在TiO2表面，占位小，饱和吸附量大，但吸附键较弱，吸附较可逆。pH5.0条件下，主要有两个磺酸基团解离，此时，H-酸通过两个磺酸基团吸附在TiO2表面，占位大。

Be unpacked before the two-phase, unpacks objects can receive upon the surface characteristics.

可以解包二位波前相位，解包后可以得到物体的表面特征。

Be unpacked before the two-phase, unpacks objects can receive upon the surface characteristics.

详细说明：可以解包二位波前相位，解包后可以得到物体的表面特征。

The error of a surface on the electrical potential distribution can be neglected when the order of the distance which from center to the surface we assume the potential decay to zero about 102 of its radius. This effect also can be neglected when the potential is high, but it can be taken into account by multiplying a correction function to the potential of surface when the surface potential is low.

并且当表面电位较高的时候，近似解析解对於空间电位的分布会有较好的描述，即和数值解的结果会有较少的误差；而在表面电位较低的情况下，圆柱座标以及球座标的近似解可以乘上一个校正函数来修正，则可以有效的大幅降低误差，更可以正确的描述胶体粒子内部的空间电位分布。

The iterativemethod and the method of averaging are combined with the method of coordi-nate transformation in this respect,and periodic and quasi-periodic solutionsof parametrically excited systems can be obtained rapidly and effectively.

这种方法将坐标变换法、迭代法及谐波平衡法相结合，可以有效迅速地求解周期参数激励系统的周期解和概周期解，并可以判断周期解的稳定性。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。